Thermodynamics of charged accelerating AdS black holes and holographic heat engines

Abstract

Using a reasonable choice in normalizing the timelike Killing vector, we investigate the thermodynamic properties of charged accelerating Anti-de Sitter (AdS) black holes. We find that the expression of the thermodynamic mass in the first law of thermodynamics displays an inextricably intertwining behavior with the charge due to the unusual asymptotic structure of the accelerating black holes. Meanwhile, the thermodynamic length as a potential conjugate to the varying cosmic string tension is introduced and analyzed in detail, and the possible phase behavior of the charged accelerating black holes is also discussed in a standard thermodynamic analysis. Furthermore, we also investigate the properties of holographic heat engines with charged accelerating AdS black holes as the working substance in a benchmarking scheme. We find that the efficiencies of the black hole heat engines can be influenced by both the size of the benchmark circular cycle and the cosmic string tension. More interestingly, the existence of charge may significantly increase the efficiencies of the black hole heat engines and make them be more sensitive to a varying cosmic string tension. A cross-comparison of the efficiencies of different black hole heat engines suggests that the acceleration also increases the efficiency and renders it more sensitive as the charge varies.

17 pages,13 figures. Update the material and formula about the charged case which has been removed in arXiv:1801.06811v2

References in corpus (18)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Building an AdS/CFT superconductor
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Superfluid Black Holes
• Geometrothermodynamics of black holes
• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Holographic Thermodynamics of Accelerating Black Holes
• Phase transition and thermodynamical geometry for Schwarzschild AdS black hole in $Ad{S}_5\times S^5$ spacetime
• Effects of energy dependent spacetime on geometrical thermodynamics and heat engine of black holes: gravity's rainbow
• Thermodynamics of Regular Accelerating Black Holes
• Radiation from accelerated black holes in an anti-de Sitter universe
• Thermogeometric phase transition in a unified framework
• Accelerating AdS black holes as the holographic heat engines in a benchmarking scheme
• Heat engine in the three-dimensional spacetime
• Thermodynamics and Thermodynamic geometry of Park black hole
• Accelerating Black Holes
• A Note on Gauss-Bonnet Black Holes at Criticality

Cited by in corpus (30)

• Quantum thermodynamic devices: from theoretical proposals to experimental reality
• Topological classes of thermodynamics of the four-dimensional static accelerating black holes
• Thermodynamics of Charged, Rotating, and Accelerating Black Holes
• Nonsingular black hole chemistry
• Solid/Liquid Phase Transition and Heat Engine in Asymptotically Flat Schwarzschild Black Hole via the Rényi Extended Phase Space Approach
• Topology in thermodynamics of regular black strings with Kaluza-Klein reduction
• Thermodynamic stability and P-V criticality of nonsingular-AdS black holes endowed with clouds of strings
• Thermal Stability, P-V Criticality and Heat Engine of Charged Rotating Accelerating Black Holes
• Geometrical thermodynamics and P-V criticality of charged accelerating AdS black holes
• Black Hole Chemistry: the first 15 years
• Snapping swallowtails in accelerating black hole thermodynamics
• Effects of quantum corrections on the criticality and efficiency of black holes surrounded by a perfect fluid
• Charged Accelerating BTZ black holes
• Signatures of the accelerating black holes with a cosmological constant from the ${\text{Sgr A}}^{\star }$ and ${\text{M87}}^{\star }$ shadow prospects
• Accelerating AdS black holes in gravity's rainbow
• Conical Holographic Heat Engines
• Thermodynamic topological classes of the rotating, accelerating black holes
• Thermodynamic extended phase space and $P-V$ criticality of black holes at Pure Lovelock gravity
• Modified Cosmic Chaplygin AdS Black Hole
• New family of C-metrics in $\mathcal{N}=2$ gauged supergravity
• Black Holes in a Cavity: Heat engine and Joule-Thomson Expansion
• Charged torus-like black holes as heat engines
• Wormhole $C$ metric
• Universality for Black Hole Heat Engines Near Critical Points
• Three-dimensional accelerating AdS black holes in $F(R)$ gravity
• Boosting thermodynamic performance by bending space-time
• Holographic Heat Engines Coupled with Logarithmic $U(1)$ Gauge Theory
• Logarithmic Corrections to Thermodynamics of Accelerating Black Holes
• Born-Infeld AdS Black Holes Surrounded by Perfect Fluid Dark Matter
• Optical and Thermodynamic Signatures of Lorentz Symmetry Breaking in Bumblebee AdS Black Holes